Euler polynomials method for solving linear integro differential equations

OpenAlex İngilizce

In this study, a matrix method called the Euler collocation method is presented for numerically solving linear integrodifferential equations.Using the collocation points, this method transforms the integro-differential equation into a matrix equation, which corresponds to a system of linear algebraic equations with unknown Euler coefficients.To illustrate the method, it is applied to certain linear Fredholm, Volterra, and Fredholm-Volterra integro-differential equations and the results are compared other numerical methods.In addition, the convergence of the solutions to the problems are examined.To obtain the matrix equations and solutions for the selected problems, code has developed in MATLAB.